I don't trust Facebook. I deleted my account, but I don't want them getting information from me from other sites, either; for instance, those with "Like" buttons cause my browser to request assets from their site, which tells them my IP address and other information that they could use to identify me. By logging this, they could know a lot about my activities.
I'm thinking I could set my browser not to request images from their site, but I'm not sure if that's enough.
What browser settings or other software can make me completely invisible to Facebook as I browse the web?